Fixed point free involutions on Riemann surfaces

DOI10.1007/s11856-008-1032-zzbMath1157.30031arXivmath/0504109OpenAlexW1976915918MaRDI QIDQ948890

Hugo Parlier

Publication date: 16 October 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504109

zbMATH Keywords

hyperbolic metricinvolutionsystolehyperelliptic Riemann surfacehyperbolic Riemann surface

Mathematics Subject Classification ID

Klein surfaces (30F50) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (4)

Vortices on Closed Surfaces ⋮ Holography and wormholes in \(2+1\) dimensions ⋮ Hyperellipticity and systoles of Klein surfaces ⋮ Dyck’s surfaces, systoles, and capacities

Cites Work

• Bases for quadratic differentials
• Filling Riemannian manifolds
• Cylinders in Riemann surfaces
• The collar theorem and examples
• Riemann surfaces with shortest geodesic of maximal length
• Generalized degree and optimal Loewner-type inequalities
• An optimal systolic inequality for \(\mathrm{CAT}(0)\) metrics in genus two
• Filling area conjecture and ovalless real hyperelliptic surfaces
• Geometry and spectra of compact Riemann surfaces

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